|
|||||
 |
|
|
|
|
|
Transient
elastic-viscoplastic dynamics of thin sheets
Ali A. Atai and David J. Steigmann |
|
Vol. 9 (2014), No. 5, 557–574
|
Abstract |
|
A model for the finite transient viscoplastic response of thin membranes is derived from three-dimensional viscoplasticity theory for isotropic materials. This accommodates large elastic strains and is not limited to conventional Kirchhoff–Love kinematics. In particular, we show that the Kirchhoff–Love hypothesis need not obtain in the presence of plastic deformation. Numerical experiments exhibit large transient elastic strains accompanied by small deviations from Kirchhoff–Love kinematics. |
|
Dedicated to José J. A. Rodal |
Keywords
viscoplasticity, membranes, transient response
|
Milestones
Received: 31 July 2014
Revised: 18 September 2014
Accepted: 26 September 2014
Published: 14 December 2014
|
Authors |
| Ali A. Atai | |
| School of Mechanical
Engineering College of Engineering University of Tehran PO Box 4563-11155 Tehran 11155 Iran |
|
| David J. Steigmann | |
| Department of Mechanical
Engineering University of California 6133 Etcheverry Hall Berkeley, CA 94720-1740 United States |
|
|
